Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the gener...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2005 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209354 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the generalized Hunter-Saxton equation and the Euler-Poisson equation.
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| ISSN: | 1815-0659 |